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216333032160 = 25357217541049
BaseRepresentation
bin1100100101111001110…
…1000001101011100000
3202200101121202200112110
43021132131001223200
512021022224012120
6243214303355320
721425635301400
oct3113635015340
9680347680473
10216333032160
11838233a1a93
1235b155b2b40
131752809a34b
14a683384800
1559623012e0
hex325e741ae0

216333032160 has 288 divisors, whose sum is σ = 839337357600. Its totient is φ = 46538784768.

The previous prime is 216333032129. The next prime is 216333032189. The reversal of 216333032160 is 61230333612.

216333032160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129316 + ... + 670364.

It is an arithmetic number, because the mean of its divisors is an integer number (2914365825).

Almost surely, 2216333032160 is an apocalyptic number.

216333032160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216333032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419668678800).

216333032160 is an abundant number, since it is smaller than the sum of its proper divisors (623004325440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216333032160 is a wasteful number, since it uses less digits than its factorization.

216333032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541098 (or 541083 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 216333032160 its reverse (61230333612), we get a palindrome (277563365772).

The spelling of 216333032160 in words is "two hundred sixteen billion, three hundred thirty-three million, thirty-two thousand, one hundred sixty".